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Journal
2015 | 13 | 1 |
Article title

On the Solution of Burgers’ Equation with the New
Fractional Derivative

Content
Title variants
Languages of publication
EN
Abstracts
EN
Firstly in this article, the exact solution of a time
fractional Burgers’ equation, where the derivative is conformable
fractional derivative, with dirichlet and initial
conditions is found byHopf-Cole transform. Thereafter the
approximate analytical solution of the time conformable
fractional Burger’s equation is determined by using a Homotopy
Analysis Method(HAM). This solution involves an
auxiliary parameter ~ which we also determine. The numerical
solution of Burgers’ equation with the analytical
solution obtained by using the Hopf-Cole transform is
compared.
Publisher
Journal
Year
Volume
13
Issue
1
Physical description
Dates
accepted
10 - 11 - 2015
received
25 - 8 - 2015
online
4 - 12 - 2015
References
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Document Type
Publication order reference
YADDA identifier
bwmeta1.element.-psjd-doi-10_1515_phys-2015-0045
Identifiers
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